Masonry is an orthotropic material that exhibits distinct directional properties due to the existence of mortar joints acting as planes of weakness. Therefore, a constitutive model employed in the numerical analysis should be capable of describing the anisotropic behavior. The main objective of this research is to implement a macroscopic failure criterion which describes the failure conditions in structural masonry. For this purpose, a comprehensive framework is outlined for modelling of the mechanical behaviour of structural masonry. In this framework, the anisotropic material properties are described using the microstructure tensor approach (Pietruszczak and Mroz, 2001). Then, a mathematical formulation defining the conditions at failure is discussed. The formulation contains several material parameters as well as material functions that describe the anisotropic behaviour. The identification procedure for these functions is outlined and is verified using the experimental tests conducted by Page (1983). Later, an extensive numerical study, including a set of numerical simulations of biaxial compression-tension and biaxial compression tests for different bedding plane orientations, is conducted to evaluate the performance of the proposed macroscopic failure criterion. In the last part of the thesis, some 3D finite element simulations of a shaking table test are performed involving a reduced scale model of four storey masonry building subjected to seismic excitation. A linear dynamic analysis, in which the proposed macroscopic failure criterion is incorporated through the UMAT subroutine, is carried out to assess the plastic admissibility of the stress field. The results including the distribution of the value of the failure function are then compared with the crack pattern in the experimental test. / Thesis / Master of Applied Science (MASc)
| Identifer | oai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/23415 |
| Date | January 2018 |
| Creators | Mohammadi, Mohammadreza |
| Contributors | Pietruszczak, Stanislaw, Civil Engineering |
| Source Sets | McMaster University |
| Language | English |
| Detected Language | English |
| Type | Thesis |
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